Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 3768679651] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s446 geometric_solution 4.76114333 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640474922086 0.453828271355 0 2 5 5 0132 1230 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455947654907 0.461843913757 4 0 1 3 0321 0132 3012 1230 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.072510034422 1.353828716920 2 3 3 0 3012 1230 3012 0132 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960551850339 0.736533064226 2 4 0 4 0321 2310 0132 3201 0 0 0 0 0 1 -1 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247868516161 1.325278817589 1 5 1 5 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.145291052800 0.478710887824 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 273/34*c_0101_3^10 + 489/17*c_0101_3^9 - 615/34*c_0101_3^8 - 5535/34*c_0101_3^7 - 1674/17*c_0101_3^6 + 4326/17*c_0101_3^5 + 3807/17*c_0101_3^4 - 7561/34*c_0101_3^3 - 4076/17*c_0101_3^2 + 983/34*c_0101_3 + 868/17, c_0011_0 - 1, c_0011_3 + 3/34*c_0101_3^10 - 6/17*c_0101_3^9 - 63/34*c_0101_3^8 + 3/2*c_0101_3^7 + 147/17*c_0101_3^6 + 8/17*c_0101_3^5 - 252/17*c_0101_3^4 - 55/34*c_0101_3^3 + 212/17*c_0101_3^2 + 59/34*c_0101_3 - 32/17, c_0011_5 - 27/34*c_0101_3^10 - 32/17*c_0101_3^9 + 151/34*c_0101_3^8 + 403/34*c_0101_3^7 - 6*c_0101_3^6 - 415/17*c_0101_3^5 + 108/17*c_0101_3^4 + 849/34*c_0101_3^3 - 60/17*c_0101_3^2 - 259/34*c_0101_3 + 19/17, c_0101_0 + 6/17*c_0101_3^10 + 8/17*c_0101_3^9 - 49/17*c_0101_3^8 - 56/17*c_0101_3^7 + 140/17*c_0101_3^6 + 145/17*c_0101_3^5 - 228/17*c_0101_3^4 - 164/17*c_0101_3^3 + 192/17*c_0101_3^2 + 67/17*c_0101_3 - 37/17, c_0101_1 - 5/17*c_0101_3^10 - 21/34*c_0101_3^9 + 2*c_0101_3^8 + 145/34*c_0101_3^7 - 143/34*c_0101_3^6 - 172/17*c_0101_3^5 + 87/17*c_0101_3^4 + 189/17*c_0101_3^3 - 143/34*c_0101_3^2 - 70/17*c_0101_3 + 45/34, c_0101_3^11 + 3*c_0101_3^10 - 4*c_0101_3^9 - 18*c_0101_3^8 - 2*c_0101_3^7 + 33*c_0101_3^6 + 10*c_0101_3^5 - 33*c_0101_3^4 - 13*c_0101_3^3 + 10*c_0101_3^2 + 3*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB